1.

    Dimensional formula for torque is

    A

    L2MT−2{L^2}M{T^{ - 2}}

    B

    L−1MT−2{L^{ - 1}}M{T^{ - 2}}

    C

    L2MT−3{L^2}M{T^{ - 3}}

    D

    LMT−2LM{T^{ - 2}}

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :torque, dimensional analysis

    Related Questions

    1.

    The dimensions of physical quantity X in the equation Force  =XDensity  {\rm{Force\;}} = \frac{X}{{{\rm{Density\;}}}} is given by

    A

    M1L4T−2{M^1}{L^4}{T^{ - 2}}

    B

    M2L−2T−1{M^2}{L^{ - 2}}{T^{ - 1}}

    C

    M2L−2T−2{M^2}{L^{ - 2}}{T^{ - 2}}

    D

    M1L−2T−1{M^1}{L^{ - 2}}{T^{ - 1}}

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Dimensional Analysis, Force, Density

    2.

    The dimensional formula for Planck’s constant (h) is

    A

    ML−2T−3M{L^{ - 2}}{T^{ - 3}}

    B

    ML2T−2M{L^2}{T^{ - 2}}

    C

    ML2T−1M{L^2}{T^{ - 1}}

    D

    ML−2T−2M{L^{ - 2}}{T^{ - 2}}

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Planck's constant, dimensional analysis, energy, frequency

    3.

    The physical quantities not having same dimensions are

    A

    Torque and work

    B

    Momentum and Planck’s constant

    C

    Stress and Young’s modules

    D

    Speed and (μ0ε0)−1/2{\left( {{{\rm{\mu }}_0}{{\rm{\varepsilon }}_0}} \right)^{ - 1/2}}

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Analyzing
    🎯Difficulty :Medium
    ⚡ Time Required :3 mins
    🔄Ncert Concepts :Dimensional analysis, Torque, Work, Momentum, Planck's constant, Stress, Young's modulus, Speed, Permeability, Permittivity

    4.

    The number of particles given by n=−Dn2−n1x2−x1n = - D\frac{{{n_2} - {n_1}}}{{{x_2} - {x_1}}} are crossing a unit area perpendicular to x-axis in unit time, where n1{n_1} and n2{n_2} are the number of particles per unit volume for the values x1{x_1} and x2{x_2} of x respectively. Then the dimensional formula of diffusion constant D is

    A

    [M0LT0]\left[ {{{\rm{M}}^0}{\rm{L}}{{\rm{T}}^0}} \right]

    B

    [M0L2T−4]\left[ {{{\rm{M}}^0}{{\rm{L}}^2}{{\rm{T}}^{ - 4}}} \right]

    C

    [M0LT−3]\left[ {{{\rm{M}}^0}{\rm{L}}{{\rm{T}}^{ - 3}}} \right]

    D

    [M0L2T−1]\left[ {{{\rm{M}}^0}{{\rm{L}}^2}{{\rm{T}}^{ - 1}}} \right]

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Dimensional Analysis, Diffusion

    5.

    Electric displacement is given by D=εED = \varepsilon E,

    Here, ε\varepsilon =electric permittivity

    E=electric field strength

    The dimensions of electric displacement are

    A

    [ML−2TA]\left[ {{\rm{M}}{{\rm{L}}^{ - 2}}{\rm{TA}}} \right]

    B

    [L−2T−1A]\left[ {{{\rm{L}}^{ - 2}}{{\rm{T}}^{ - 1}}{\rm{A}}} \right]

    C

    [L−2TA]\left[ {{{\rm{L}}^{ - 2}}{\rm{TA}}} \right]

    D

    None of these

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :3 mins
    🔄Ncert Concepts :electric displacement, electric permittivity, electric field strength, dimensional analysis

    6.

    A car travels at a speed of 60 km/h. What is its speed in m/s?

    A

    1.67 m/s

    B

    16.67 m/s

    C

    166.7 m/s

    D

    0.167 m/s

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :1 mins
    🔄Ncert Concepts :unit conversion, speed

    7.

    A rectangular field is 200 m long and 150 m wide. What is its area in hectares?

    A

    2 hectares

    B

    3 hectares

    C

    4 hectares

    D

    5 hectares

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Application
    🎯Difficulty :Easy
    ⚡ Time Required :1 mins
    🔄Ncert Concepts :Unit Conversion, Area

    8.

    Dimension of electric current is

    A

    [M0L0T−1Q]\left[ {{M^0}{L^0}{T^{ - 1}}Q} \right]

    B

    [ML2T−1Q]\left[ {M{L^2}{T^{ - 1}}Q} \right]

    C

    [M2LT−1Q]\left[ {{M^2}L{T^{ - 1}}Q} \right]

    D

    [M2L2T−1Q]\left[ {{M^2}{L^2}{T^{ - 1}}Q} \right]

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Remembering
    🎯Difficulty :Easy
    ⚡ Time Required :1 mins
    🔄Ncert Concepts :Dimensional Analysis, Electric Current

    9.

    In the formula, a=3bc2,aa = 3b{c^2},a and c have dimensions of electric capacitance and magnetic induction respectively. What are dimensions of b in MKS system?

    A

    [M−3L−2T4Q4]\left[ {{{\rm{M}}^{ - 3}}{{\rm{L}}^{ - 2}}{{\rm{T}}^4}{{\rm{Q}}^4}} \right]

    B

    [M−3T4Q4]\left[ {{{\rm{M}}^{ - 3}}{{\rm{T}}^4}{{\rm{Q}}^4}} \right]

    C

    [M−3T3Q]\left[ {{{\rm{M}}^{ - 3}}{{\rm{T}}^3}{\rm{Q}}} \right]

    D

    [M−3L2T4Q−4]\left[ {{{\rm{M}}^{ - 3}}{{\rm{L}}^2}{{\rm{T}}^4}{{\rm{Q}}^{ - 4}}} \right]

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :3 mins
    🔄Ncert Concepts :Dimensional Analysis, Electric Capacitance, Magnetic Induction

    10.

    A force of 5 dyne is applied on a body. Express this force in Newtons.

    A

    5 x 10^5 N

    B

    5 x 10^-5 N

    C

    5 N

    D

    0.5 N

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Conversion Of Units For One System To Another
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :1 mins
    🔄Ncert Concepts :unit conversion, force

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